Boundedness and continuity of the time derivative in the parabolic Signorini problem

DOI10.4310/MRL.2019.v26.n1.a13zbMath1412.35185arXiv1512.09173OpenAlexW2967580268WikidataQ127750127 ScholiaQ127750127MaRDI QIDQ2001011

Arshak Petrosyan, Andrew K. Zeller

Publication date: 1 July 2019

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09173

zbMATH Keywords

regular pointsparabolic Signorini problemboundedness of the time derivativecontinuity of time derivative

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Semilinear parabolic equations (35K58)

Related Items (7)

The structure of the singular set in the thin obstacle problem for degenerate parabolic equations ⋮ Regularity of almost minimizers for the parabolic thin obstacle problem ⋮ Higher regularity of the free boundary in the obstacle problem for the fractional heat operator ⋮ Higher regularity of the free boundary in the parabolic Signorini problem ⋮ Almost minimizers for the thin obstacle problem ⋮ An epiperimetric inequality approach to the parabolic Signorini problem ⋮ The regular free boundary in the thin obstacle problem for degenerate parabolic equations

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